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In this paper, we construct toric data of moduli space of quasi maps ofdegree $d$ from P^{1} with two marked points to weighted projective spaceP(1.1,1,3). With this result, we prove that the moduli space is a compact toricorbifold. We also determine its Chow ring. Moreover, we give a proof of theconjecture proposed by Jinzenji that a series of intersection numbers of themoduli spaces coincides with expansion coefficients of inverse function of-log(j(tau)).

Moduli Space of Quasi-Maps from P^{1} with Two Marked Points to P(1,1,1,3) and j-invariant